Summation of 3n + 2 from n = 1 to n = 14 = (3(1) + 2) + (3(2) + 2) + (3(3) + 2) + . . . + (3(14) + 2) = 5 + 8 + 11 + ... + 44 ia an arithmetic progression with first term (a) = 5, common difference (d) = 3 and last term (l) = 44 and n = 14
Sn = n/2(a + l) = 14/2(5 + 44) = 7(49) = 343
Therefore, the required summation is 343.
Answer:
The slope of f(x) is greater than g(x). In fact, it is double the slope of g(x). This means Reena can make envelopes two times as fast as Greg. But the y-intercept of g(x) is greater than f(x), meaning at 0 minutes, Greg starts with more envelopes than Reena. If they work for 20 minutes, Greg will have 10 more envelopes than Reena. But if they work longer than 30 minutes, Reena will have a larger stock of envelopes than Greg.
Step-by-step explanation:
answer from Plato
The answer is = (x + 5y) (x + 7y)
Break the expression into two groups.
x^2 + 12xy + 35y^2
(x^2 + 5xy) (7xy + 35^2)
Factor out x from x^2 + 5xy: x(x + 5y)
Factor out 7y from 7xy + 35y^2: 7y(x + 5y)
=x(x + 5y) + 7y(x + 5y)
Next, factor out the common term (x+ 5y).
Answer = (x + 5y) (x + 7y)
Answer:
1 and 2/5 yards wastes only 1/15 a yard
Step-by-step explanation:
1 and 1/6 yards would make a waste of 1 and 1/6 yards since you can't make a ribbon out of it. (incorrect)
1 and 2/10 yards would make a waste of 1 and 1/5 yards since you can't make a ribbon out of it. (incorrect)
1 and 2/5 yards
Wastes 1/15 a yard.
1 and 1/2 yards
It wastes 1/6 a yard.
2 yards
It wastes 4/6 a yard.
